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Alenkasestr [34]
3 years ago
6

Enter the coordinates of the point on the unit circle at the given angle. 150 degrees. please help!

Mathematics
2 answers:
Katarina [22]3 years ago
8 0

Answer:

\boxed{(-\frac{\sqrt{3}}{2}, \frac{1}{2})}

Step-by-step explanation:

Method 1: Using a calculator <em>instead</em> of the unit circle

The unit circle gives coordinates pairs for the <em>cos</em> and <em>sin</em> values at a certain angle. Therefore, if an angle is given, use a calculator to evaluate the functions at cos(angle) and sin(angle).

Method 2: Using the unit circle

Use the unit circle to locate the angle measure of 150° (or 5π/6 radians) and use the coordinate pair listed by the value (see attachment).

This coordinate pair is (-√3/2, 1/2).

Download pdf
vichka [17]3 years ago
6 0

Answer:

coordinate pair is (-√3/2, 1/2).

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Hi Juliadayx! How are you?

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In this case, the exercise asks you to evaluate for which values of “x” (right column of the table), the function “f(x)” takes positive values (left column of the table), the positive values also include zero. And in this case you can see that the function f(x) is only positive for the values of "x": -2, -1, 0 and 1. Therefore, the answer is the entire interval (-2, 1).

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a one way road passes under an overpass in the shape of half an ellipse, 15 ft. high at the center and 20 ft wide. assuming a tr
BlackZzzverrR [31]

Answer:

The tallest truck that can pass under the overpass would be 9 feet in height

Step-by-step explanation:

This problem can be represented by an ellipse with a vertical major axis of the standard form:

(x-h)^2/b^2+(y-k)^2/a^2=1, a>b, (h,k)=(x,y) coordinates of center.

center: (0,0) (center line of road)

a=15 ft (height of overpass at center)

a^2=225

b=10 (1/2 the width of the road)

b^2=100

equation of ellipse:

x^2/100+y^2/225=1

The point at which a truck 16 ft wide would touch the overpass would have and x-coordinates �8 ft from center. Its y-coordinate is the answer to given problem.

Plug in x=8 ft in equation to solve for y.

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3 years ago
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